Question 318123
{{{sqrt(2)*(9*sqrt(3)-5*sqrt(4))}}} Start with the given expression.



{{{sqrt(2)*(9*sqrt(3)-5*2)}}} Take the square root of 4 to get 2.



{{{sqrt(2)*(9*sqrt(3)-10)}}} Multiply 5 and 2 to get 10



{{{sqrt(2)*9*sqrt(3)-sqrt(2)*10}}} Distribute.



{{{9*sqrt(2*3)-10*sqrt(2)}}} Combine the roots.



{{{9*sqrt(6)-10*sqrt(2)}}} Multiply 2 and 3 to get 6.



So {{{sqrt(2)*(9*sqrt(3)-5*sqrt(4))=9*sqrt(6)-10*sqrt(2)}}}